| 孙桂香，王 峰*.S-QN和B-S-QN矩阵线性互补问题的误差界[J].海南师范大学学报自科版,2025,38(2):125-133 |
| S-QN和B-S-QN矩阵线性互补问题的误差界 |
| Error Bounds for Linear Complementarity Problems of S-QNMatrices and B-S-QN Matrices |
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| DOI：10.12051/j.issn.1674-4942.2025.02.002 |
| 中文关键词: S-QN矩阵 B-S-QN矩阵 无穷大范数 误差界 线性互补问题 |
| 英文关键词: S-QN matrix B-S-QN matrix infinity norms error bound linear complementarity problem |
| 基金项目:贵州省科学技术基金项目（GCC2023027）；贵州省教育厅自然科学基金项目（QJJ2023012） |
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| 摘要点击次数: 597 |
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| 中文摘要: |
| 给出了S-QN矩阵逆的无穷大范数的新的上界及其线性互补问题的新误差界，改进了
既有成果的准确性。通过将不等式放缩方法与新界相结合，推导出了B-S-QN矩阵线性互补问题
的误差界。数值算例验证了新估计式的有效性。 |
| 英文摘要: |
| We present an infinity norm upper bound for the inverse of S-QN matrices, as well as new estimators for error of the lin⁃
ear complementarity problems of S-QN matrices, which improve the accuracy of previously established results. An error bound for
linear complementarity problems involving B-S-QN matrices is derived by combining the new estimator with the inequality defla⁃
tion technique. Numerical example results verify the validity of the new estimator. |
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